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模糊值函数级数的绝对一致收敛性
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O159.2[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨工业大学数学系,哈尔滨150001, [2]陕西理工学院数学系,汉中723000
  • 相关基金：国家自然科学基金资助项目（10571035）
作者： 吴从圻[1], 熊启才[1,2]
关键词： 模糊数, 模糊值函数级数, 绝对一致收敛, fuzzy numbers, series of fuzzy valued functions, absolute uniform convergence
中文摘要：

基于模糊值函数的研究,利用模糊数的度量以及模糊数的绝对值概念,讨论了模糊值函数级数绝对一致收敛性,给出了模糊值函数级数绝对一致收敛性的一个充要条件和几个推论。

英文摘要：

Based on the research of fuzzy valued functions, the absolute uniform convergence for the series of fuzzy valued functions is discussed, by using concept of the metric and absolute valued of fuzzy numbers. A necessary and sufficient condition under which the series of fuzzy valued functions are absolute uniformly convergent is obtained, from which several corollaries are derived.

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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4204